Math 2 - 1st Semester Review (Units 1, 2, & 3)

Front

What is the vertex of the quadratic function f(x) = -x^2 - 4x + 12?

Back

The vertex is (-2, 16).

Front

What is the axis of symmetry for the equation y = 4x^2 - 8x + 9?

Back

The axis of symmetry is x = 1.

Front

Simplify the expression (2x + 3)^2.

Back

The simplified expression is 4x^2 + 12x + 9.

Front

What is the range of the function f(x) = -x^2 + 4?

Back

The range is (-∞, 4].

Front

What is the sum of the roots of the quadratic equation ax^2 + bx + c = 0?

Back

The sum of the roots is -b/a.

Front

What is the product of the roots of the quadratic equation ax^2 + bx + c = 0?

Back

The product of the roots is c/a.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax^2 + bx + c.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set f(x) = 0 and solve for x.

Front

What is the formula for the vertex of a parabola given in standard form?

Back

The vertex (h, k) can be found using h = -b/(2a) and k = f(h).

Front

What does the discriminant of a quadratic equation tell you?

Back

The discriminant (b^2 - 4ac) indicates the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.